[10 points] It can be shown that 10=-1 mod 11, 102=1 mod 11,…

[10 points] It can be shown that 10=-1 mod 11, 102=1 mod 11, 103 =-1 mod 11,Using the above information, find the value of 873631453672578953779832 mod 11. (You must show the steps of your calculations. 2 points will be offered for the correct answer, 8 points cover the steps of calculations.)